260564148 has 96 divisors (see below), whose sum is σ = 759225600. Its totient is φ = 76678272.

The previous prime is 260564131. The next prime is 260564149. The reversal of 260564148 is 841465062.

260564148 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 641 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260564149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28258 + ... + 36326.

It is an arithmetic number, because the mean of its divisors is an integer number (7908600).

Almost surely, 2^260564148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260564148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379612800).

260564148 is an abundant number, since it is smaller than the sum of its proper divisors (498661452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260564148 is a wasteful number, since it uses less digits than its factorization.

260564148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 260564148 is about 16141.9995043985. Note that the first 3 decimals coincide. The cubic root of 260564148 is about 638.7117216706.

The spelling of 260564148 in words is "two hundred sixty million, five hundred sixty-four thousand, one hundred forty-eight".